# Events by year for Geometric Analysis Seminars

Navigate to a particular year to see all events from that year.

## « 2016 »

## Thu Feb 4, 2016

## Geometric Analysis Seminar: Gabor Szekelyhidi - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

**Title**: Hormander's L^2 estimate

**Astract**: I will discuss the classical L^2 estimate for constructing holomorphic functions, due to H\"ormander. In subsequent talks we will explore related recent developments.…

### Posted In: Geometric Analysis Seminars

## Thu Feb 11, 2016

## Geometric Analysis Seminar: Gabor Szekelyhidi - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

Title: Cheeger-Colding Theory

### Posted In: Geometric Analysis Seminars

## Thu Feb 18, 2016

## Geometric Analysis Seminar: Matt Gursky - University of Notre Dame

###
11:30 AM - 12:30 PM

258 Hurley Hall

**Title**: Anderson's rigidity and compactness result

**Abstract**: I will give some details of the proof of Anderson's result about the existence of "good" coordinates on balls with Ricci curvature bounds and volume close to the Euclidean value (more precisely, Theorem 3.2 in Anderson's 1990 Inventiones paper).…

### Posted In: Geometric Analysis Seminars

## Thu Feb 25, 2016

## Geometric Analysis Seminar: Gabor Szekelyhidi - University of Notre Dame

###
11:00 AM - 12:00 PM

258 Hurley Hall

**Title**: Holomorphic sections on Kahler-Einstein manifolds

**Abstract**: I will explain Donaldson-Sun's construction of holomorphic sections of line bundles on Kahler-Einstein manifolds, combining the L2 estimate for the dbar operator with Cheeger-Colding's structure theory.…

### Posted In: Geometric Analysis Seminars

## Thu Mar 17, 2016

## Geometric Analysis Seminar: Mei-Chi Shaw - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

**Title**: *L ^{2}* Hodge Theory on Negatively Curved Manifolds

**Abstract**: In this talk, we will discuss the *L ^{2}* vanishing theorem of harmonic forms on negatively curved manifolds. In particular, I will give a proof of Gromov's results on

*L*-Hodge theory on Kahler hyperbolic manifolds.…

^{2}### Posted In: Geometric Analysis Seminars

## Thu Mar 31, 2016

## Geometric Analysis Seminar: Ovidiu Munteanu - University of Connecticut

###
10:30 AM - 11:30 AM

258 Hurley Hall

**Title**: Ricci Solitons

**Abstract**: I will talk about some progress on the classification problem for four dimensional shrinking Ricci solitons. This study is useful for understanding the singularity analysis of the Ricci flow on four dimensional manifolds.…

### Posted In: Geometric Analysis Seminars

## Thu Apr 7, 2016

## Geometric Analysis Seminar: Curtis Pro - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

Title: Diffeomorphism stability and codimension 4

### Posted In: Geometric Analysis Seminars

## Thu Apr 14, 2016

## Geometric Analysis Seminar: Paolo Piccione - University of Sao Paolo

###
10:30 AM - 11:30 AM

258 Hurley Hall

Title: Infinitely many solutions to the Yamabe problem on noncompact manifolds

### Posted In: Geometric Analysis Seminars

## Thu Apr 21, 2016

## Geometric Analysis Seminar: Haomin Wen - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

Title: From the boundary distance function to the Dirichlet to Neumann operator

### Posted In: Geometric Analysis Seminars

## Thu Sep 1, 2016

## Geometric Analysis Seminar: Qing Han - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

**Title**: Abreu's equation on polytopes

**Abstract**: I will give an introduction to Abreu's equation on convex polytopes. This is a PDE related to finding constant scalar curvature metrics on toric manifolds.…

### Posted In: Geometric Analysis Seminars

## Thu Sep 15, 2016

## Geometric Analysis Seminar: Gabor Szekelyhidi - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

**Title**: Interior estimates for Abreu's equation

**Abstract**: I will give an overview of Donaldson's interior estimates for Abreu's equation in the two-dimensional case. …

### Posted In: Geometric Analysis Seminars

## Thu Sep 22, 2016

## Geometric Analysis Seminar: Samuel Perez-Ayala - University of Notre Dame

###
11:00 AM - 12:00 PM

258 Hurley Hall

Title: Abreu's equation

### Posted In: Geometric Analysis Seminars

## Thu Oct 6, 2016

## Geometric Analysis Seminar: Samuel Perez-Ayala - University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

**Title**: Abreu's equation, continued

**Abstract**: I will complete the proof of Donaldon's integration by parts formula, then discuss the one-dimensional case. …

### Posted In: Geometric Analysis Seminars

## Thu Oct 13, 2016

## Geometric Analysis Seminar: Gabor Szekelyhidi - University of Notre Dame

###
2:00 PM - 3:00 PM

258 Hurley Hall

**Title**: Interior estimates for Abreu's equation

**Abstract**: I will continue talking about Donaldson's approach to the interior estimates for Abreu's equation, on a toric surface.…

### Posted In: Geometric Analysis Seminars

## Thu Oct 27, 2016

## Geometric Analysis Seminar: Gabriella Clemente

###
10:30 AM - 11:30 AM

258 Hurley Hall

Lecture Title: K-stable toric and Fano reductive varieties

### Posted In: Geometric Analysis Seminars

## Thu Nov 3, 2016

## Geometric Analysis Seminar: Xiaoxiao Li, University of Notre Dame

###
10:30 AM - 11:30 AM

258 Hurley Hall

Title: Global Estimates for Abreu's Equation

Abstract: I will try to explain Chen-Li-Sheng's global estimates for Abreu's equation on a toric surface.…